This article is cited in 1 paper

Algebraic analog of compact complex spaces with a sufficiently large field of meromorphic functions. III

B. G. Moishezon


Abstract: In this part of the paper it is shown that minischemes are obtained from schemes by using inverses of monoidal transformations (the “how Lemma”). Several resolution theorems for minischemes are also proved; in particular: Given a nonsingular minischeme over a field with zero characteristic or a nonsingular three-dimensional minischeme over an algebraically closed field with arbitrary characteristic, it can be made into a projective scheme by means of a suitable sequence of monoidal transformations with nonsingular centers.

UDC: 513.6

MSC: 30D30

 English version: Mathematics of the USSR-Izvestiya, 1969, 3:3, 477–513

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